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Description

Information Linkage between Applied Mathematics and Industry II presents the proceedings of the Second Annual Workshop on the Information Linkage between Applied Mathematics and Industry, held in Monterey, California on February 22–24, 1979. This book focuses on the linear systems of equations in practical applications.
Comprised of two parts encompassing 29 chapters, this volume starts with an analysis of the undetermined systems of linear algebraic equations that are frequently encountered in solving physical problems. This book then discusses the guiding principles of the methods used to stabilize the problem against ill-conditioning and rank deficiency. This text explains the methods that are developed to solve the typical radiation spectrum unfolding problems. Other chapters describe the mathematical technique that is the basis of unfolding code called FERD. Finally, the reader is introduced to integral and differential equations by using a point-by-point approach.
Mathematicians, engineers, researchers, and students will find this book extremely useful.

Table of Contents

Contributors
Preface
Invited Papers
Constrained Interval Estimation for Linear Models with Ill-Conditioned Equations
Robust Stability of Linear Systems: Engineering Motivation
Robust Stability of Linear Systems—Some Computational Considerations
Elliptic Equations in Meteorology
Software for Elliptic Partial Differential Equations
Contributed Papers and Abstracts of Contributed Papers
Theory and Computation of Linear Systems
Block Diagonalization of Ill-Conditioned Matrices
Applications of Exact Inversion of Arbitrarily Ill-Conditioned Matrices
Out of Core Gram-Schmidt Orthogonalization for Computers with Limited Capacity
Matrix Evaluation of Product-Type Quadrature Coefficients
Solving Equations Exactly on Illiac IV
An Improved Determination of the Characteristic Polynomial for the Standard Eigenvalue Problem
Least Squares, Regression, and Systems Identification
Aeromagnetic Compensation as a Linear Regression Problem
Calculation of Response Correlation Matrices for Aircraft Subject to Three-dimensional Turbulence
A New Parallel Identification Algorithm for Linear Time-Invariant Systems: Preliminary Results
Two-Dimensional Power Series Approximation of Equation-of-State Surfaces
Linear Regression with Optimal +1 ,0 , -1 Weights: Statistical and Computational Theory
Applications in Controls
Decoupling and Order Reduction of Two-time-Scale Control Systems
On the Application of Matrix Generalized Inverses to the Determination of Unknown Inputs of Linear Control Systems
Computer-Aided Formal Design of Linear Systems Theodore Mairson
Application of the Ricatti Equation to Finding Initial Values In Ill-Conditioned Control Systems
On Solution of Linear Time-Varying Systems
General Applications
Generalized Tensors and Matrices
An Analysis Program for Beam-Slab on Elastic Foundation
COOP, Program for Comprehensive Optimization of Solutions of Ordinary Differential Equations by Conjugate Gradient Descent
Two-Dimensional Digital Filtering Using Transforms over Extensions of Finite Rings
The Determination of Adsorption Energy Distributions
A Finite Element Method Analysis of the Earth Anchor-Soil System
Approximation Algorithm Using Function and Derivative Values
Deconvolution of Spectral-Dependent Measurements